At the other end of the scale, small drones are becoming increasingly popular, especially as the price drops. Some have been used by hunters as they try to track their prey.
The US near-miss figures emerged at a time of mounting global concern over the potential danger to aviation posed by drones. Global regulators - including the FAA, Britain's CAA and the European Aviation Safety Agency - are working on new rules.
"We have achieved making aviation very safe, we want to avoid potentially introducing any new risks," an EASA spokesman said.
American hobby drone flyers are required to keep their aircraft below 120m, away from public areas and other aircraft.